Engineering Calculus Notes 87

Engineering Calculus Notes 87 - 75 1.6. CROSS PRODUCTS For...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 75 1.6. CROSS PRODUCTS For example, the triangle with vertices A(2, −3), B (4, −2) and C (3, −1), shown in Figure 1.36, has − − → →→ AB = 2− + − ı − →− → AC = → + 2− ı and its signed area is 1 2 21 12 1 = [(2)(2) − (1)(1)] 2 1 = [4 − 1] 2 3 =; 2 you can verify from Figure 1.36 that the path A → B → C → A traverses the triangle counterclockwise. 1 0 C (3, −1) -1 -2 B (4, −2) -3 A(2, −3) -4 -1 0 1 2 3 4 5 Figure 1.36: Oriented Triangle △ABC , Positive Orientation The triangle with vertices A(−3, 4), B (−2, 5) and C (−1, 3) (Figure 1.37) has − − →→→ AB = − + − ı − → →→ AC = 2− − − ı ...
View Full Document

Ask a homework question - tutors are online